Question

The angle measurement of a quadrilateral are 35º,490,67°.find the measure of fourth angle.​

Answer 1

Correct question :

• The angle measurement of a quadrilateral are 35º,49°,67°.find the measure of fourth angle.

Given :

• The angle measurement of a quadrilateral are 35º,49°,67°

To find :

• The measure of fourth angle.

Solution :

$\boxed {\sf {\blue{Sum \: of \: all \: angle \: of \: quadrilateral \: is \: 360 \degree}}} \\ \\ \implies \sf \orange{a + b + c + d = 360 \degree} \\ \\ \implies \sf \red{35 \degree + 49 \degree + 67 \degree + d = 360 \degree} \\ \\ \implies \sf \pink{151 \degree + c = 360 \degree} \\ \\ \implies \sf \green{c = 360 \degree - 151 \degree} \\ \\ \implies \large\boxed{\sf {\red{c = 209\degree}}}$

$\boxed{\sf{\underline{\blue{\therefore \: The \: measure \: of \: fourth \: angle \: is \: 209 \degree.}}}}$